Разделите многочлен \(\displaystyle z^{\,3}-7z^{\,2}+19z-28\) на многочлен \(\displaystyle z-4\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}z^{\,3}-7z^{\,2}+19z-28\)				\(\displaystyle z-4\)
	[ ]				[ ]
	\(\displaystyle \phantom{\,\,}-\)	[ ]
		[ ]
		\(\displaystyle \phantom{ xxxxx} -\)		[ ]
				[ ]
				\(\displaystyle 0\phantom{x}\)

и запишите разложение:

\(\displaystyle z^{\,3}-7z^{\,2}+19z-28=(z-4)\cdot \big(\)[ ]\(\displaystyle \big).\)